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Finding the Fourth Proportional to 13,097.60, 18,079.80 and 8,384.48

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Solution

The fourth proportional to 13,097.60, 18,079.80 and 8,384.48 is: 11,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.60 : 18,079.80 = 8,384.48 : x
  2. Step 2: Convert to fraction form
    13,097.60/18,079.80 = 8,384.48/x
  3. Step 3: Cross multiply
    13,097.60x = 18,079.80 × 8,384.48
  4. Step 4: Simplify right side
    13,097.60x = 151,589,721.50
  5. Step 5: Solve for x
    x = 151,589,721.50/13,097.60
  6. Step 6: Final answer
    x = 11,573.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.